Question

Q 12 How much chocolate worth Rs. 45 per kg should be added to 120 kg of coffee worth Rs. 100 per kg such that the mixture is worth Rs. 65 per kg?
Ops: A
O 150 kg
B. 0 210 kg
С. O None of the mentioned options
D. O 160 kg​

Answer 1

Answer:

(B)

Step-by-step explanation:

Cost of coffee added to the mixture = 120 kg × ₹100/kg = ₹12000

Let x kg of chocolate be added to the mixture.

Cost of chocolate added to the mixture = x kg × ₹45/kg = ₹45x

Total cost of items added = ₹(12000 + 45x)

Total mass of items added = (120 + x)kg

Cost of mixture per kg = $\frac{Total cost of items added}{Total mass of items added}$

= $\frac{12000 + 45x}{120 + x}$= ₹65

Bringing the denominator to the other side and solving for x,

12000 + 45x = 7800 + 65x

20x = 4200

x = 210 kg               ⇒(B).